Connections Academy Sample Work Pre Calc
Please Help!!!
I believe
y (theta) = 3 sin t
and
a(theta) = 3 cos t
but that might be wrong because I'm so confused. Please Please help!
Answers
Step-by-step explanation:
sintheta=y/3"theta=sin-¹(y/3")
cos theta=a/3"
theta=cos-1(a/3)
sin beta=y/7"
beta=sin-¹(y/7")
b=√{y²+7" ²}
sorry last one I don't know
Answer:
sinθ = y/3 ⇒ y(θ) = 3 sinθcosθ = a/3 ⇒ a(θ) = 3 cosθsin β = y/7 = 3 sinθ / 7 ⇒ β(θ) = arcsin (3/7sinθ)b(θ) = √(7²-y²) = √(49-9sin²θ)p(θ) = a(θ) + b(θ) = 3 cosθ + √(49-9sin²θ)The graph is attached
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p.s.
b(θ) can be put in different way:
cos β = b/7 ⇒ b(θ) = 7 cos β = 7cos(arcsin(3/7sinθ))Then
p(θ) = a(θ) + b(θ) = 3 cosθ + 7cos(arcsin(3/7sinθ))This doesn't change the function or the graph
Related Questions
Explain how I would use Distributive Property (GCF) to factor the following expression: 4m + 16
Answers
Answer:
4(m+4)
Step-by-step explanation:
4m+16
Rewriting
4*m + 4*4
Factor out 4
4(m+4)
If you answer correctly the first one will get brainliest so plz answer correctly Which process in photosynthesis uses energy from the sun?(1 point) A splitting water into hydrogen and oxygen B combining carbon dioxide and hydrogen C absorbing carbon dioxide D releasing oxygen
Answers
Answer: A. splitting water into hydrogen and oxygen
Step-by-step explanation:
Photosynthesis is the process by which plants produce glucose by reacting carbon dioxide and water in the presence of sunlight. Chlorophyll which gives the plant its green color, traps sunlight and uses it to split water molecules into their constituent molecules of hydrogen and oxygen.
Glucose is then synthesized from these molecules and used in respiration to release energy for the plant.
A, splitting water into hydrogen
Find the missing side of the triangle.
Answers
Answer:
The second option
Step-by-step explanation:
c=[tex]\sqrt{16^{2} +12^{2} }[/tex]
c=20 m
I would need you to tell me the answers to each question (3 questions)
Answers
Step-by-step explanation:
For no. 4
x = 180° - 98° - 50°
x = 32°
For no. 5
x = 180°- 67°-56°
x = 57°
For no. 6
x = 180° - 22° - 47°
x = 111°
Hope it will help :)❤
Pls help FAST I’m giving brainliest
Answers
Whats 4x+2=2(x+6) ?
Just want to see your answers
Answers
Answer:
x = 5
Step-by-step explanation:
4x + 2 = 2(x + 6)
4x + 2 = 2x + 12 (after you distribute the 2)
add and subtract like terms
4x - 2x = 12 - 2
2x = 10
x = 5
you can double check by substituting the x with 5 in the equation
4 (5) + 2 = 2(5 + 6)
20 + 2 = 2(11)
22 = 22
Part B: Melissa designed the kite shown and would like to know the minimum amount of fabric needed to cover the kite. Each unit is 1 inch,
48 in
69 in
286 in
572 in?
Answers
Answer:
69.4 inches
Step-by-step explanation:
A kite is a quadrilateral (has four sides and four angles) with two pairs of congruent adjacent sides. The diagonals of a kite are perpendicular to each other.
To prove that quadrilateral ADBC is a kite, the diagonals of the kite have to be perpendicular to each other.
AD ⊥ BC.
Since adjacent sides are equal to each other, hence:
BC = BD, AC = AD
The coordinate of the vertices are A(11, 0), B(11, 26), C(0, 18) and D(22, 18)
[tex]BC=\sqrt{(0-11)^2+(18-26)^2} =13.6\ unit\\\\AC=\sqrt{(0-11)^2+(18-0)^2} =21.1\ unit[/tex]
BC = BD, AC = AD
Perimeter of kite = BC + BD + AC + AD = 2BC + 2AC = 2(13.6) + 2(21.1) = 69.4 units = 69.4 inches
Answer: 69
Step-by-step explanation:
Find the area. Simplify your answer.
Answers
Answer:
x = 26
Step-by-step explanation:
it is a right angle so
(x+4)3=90
3x+12=90
-12 -12
3x = 90-12
3x = 78
/3 /3
x = 26
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answers
Answer:
1242
Step-by-step explanation:
PLEASE HELP ASAP!!
In 2015, the cost of bread was $0.40. In 2021, the cost of bread is $2.00. What is the percent of change?
ILL GIVE BRAINLIEST
Answers
Steps are on paper
Find the value of x.
Answers
Answer:
x=7
Step-by-step explanation:
Since the two lines, the transversal intersects are parallel we know that the angles are same-side interior. This means they are supplementary or add up to 180. Therefore, to solve add the two expressions and set them equal to 180, then solve with properties of equality.
14x+7+10x+5=180
First, add like terms
24x+12=180
Then, subtract 12 from both sides
24x=168
Next, divide both sides by 24
x=7
Don notices that the side opposite the right angle in a right triangle is always the longest of the three sides. Is this also true of the side opposite the obtuse angle in an obtuse triangle?
Answers
Answer:
Yes
Step-by-step explanation:
The line has to be loner to connect the other two.
(sat prep) find the value of x
Answers
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120
what is the square root of 4.84
Answers
Answer:
2.2. Hope it helps :D
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answers
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
(5-8) (1,4) m = -3
find the slope
Answers
Answer:
slope is -3
Step-by-step explanation:
m is the slope, this may have been a trick question.
by the points given the slope is 1
Please help me with this
Answers
Answer:
1) equation is set up to determine when the cost of printing at home is the same as the cost of printing at the office
2) p = 500 means that, at printing 500 pages, the costs of home versus office printing are the same
Step-by-step explanation:
Answer:
1) No, it does not represent the story.
2) It represents the number of pages.
Step-By-Step Explanation:
1) It has nothing to do with the story.
2) It says: Let p represent the number of pages
two adjacent angles of a rhombus as in the ratio 2:3. Eind all the a angles of the rombus
Answers
Answer:
Let the adjacent angles of the rhombus be 2x and 3x. We know that the sum of the measures of the adjacent angles is equal to 180°. AD = DC = 3 × 36° = 108°. Hence , the angles of the rhombus are 72° , 108° , 72° and 108°.
Step-by-step explanation:
Answer:
Let the adjacent angles of the rhombus be 2x and 3x.
we know that the sum of the measures of the adjacent angles is equal to 180°.
2x+3x=180
=5x=180
=x=180/5
=x=36°
Hence,AB =BC=2×36°=72°
AD=DC=3×36°=108°
Hence,The angles of the rhombus are 72°,108°, 72°and108°.
I hope it's helpful!
PLEASE HELP ME ANYONE
Answers
i believe it’s (0,4) since it’s asking for vertex.
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answers
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
please help asap!!!!
Answers
Answer:
x ≤ 7.5
Step-by-step explanation:
First, get x alone by multiplying both sides by 3 (to get rid of the fraction)
3 (1/3x) ≥ 3(2.5)
x ≤ 7.5
(The sign will flip whenever you multiply or divide in an inequality)
Since the sign is 'less than or equal to' you need a closed dot on 7.5, and it will be a ray pointing left, because x will be a number smaller (aka less than) than 7.5
Helllllllp
Simplify the expression 43 + 2(3 − 2).
14
16
66
68
Answers
Answer:
68
Step-by-step explanation:
Answer:
The answer is 46...i cant find that answer in the choices though
Step-by-step explanation:
In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this
43 + 2 + 1
Which equals 46
hope this helps. have a good day
please help me on this will give you brainliest
Answers
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answers
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
A baker needs 4 3⁄4 cups of flour. If she uses a 1 1⁄2 cup measuring scoop, how many scoops of flour must the baker use to have at least 4 3⁄4 cups?(must be a whole number)
Answers
Answer:
If you did it three times it would be 4 1/2. If you wanted to make it at least 4 3/4 then you would need to do 1 1/2 4 times.
Step-by-step explanation:
On a certain hot summer's day, 234 people used the public swimming pool. The
daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled
$435.00. How many children and how many adults swam at the public pool that day?
Answers
Step-by-step explanation:
I need help asap!! This is an i-ready lesson.
Answers
Answer:
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Answer: A because it keep going none stopping
Step-by-step explanation:
Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.
Answers
Answer:
Proven Below
Step-by-step explanation:
If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.
Answer:
The slope of the first line is 5/3
The slope for the second one is -3/5
If you multiply the 2 slope you have to end up with - 1
So 5/3*(-3/5)=-15/15 which is - 1
So yes the lines are perpenducular
Will give brainliest please answer please
Answers
Answer:
E,F,B
Step-by-step explanation:
Answer:
A,C,E
Step-by-step explanation:
12/21= .571428571
4/7, 16/28 and 8/14 all result in this decimal
During each of the past three months, Tyler grew
by the following amounts: 1/8in., 3/16in., and 1/4in.
What is Tyler's total amount of growth over these
three months?
Answer with supporting work: